Question

estimate the measure of this angle within 15°.

Explanation:

Step1: Recall angle types

An acute angle is less than \(90^{\circ}\), a right angle is \(90^{\circ}\), an obtuse angle is between \(90^{\circ}\) and \(180^{\circ}\). This angle is obtuse.

Step2: Estimate

Since it's obtuse and we need an estimate within \(15^{\circ}\). Looking at common angle benchmarks (e.g., \(90^{\circ}\), \(105^{\circ}\), \(120^{\circ}\), \(135^{\circ}\), \(150^{\circ}\), \(165^{\circ}\)). The angle appears closer to \(120^{\circ}\) (as \(120 - 15=105\) and \(120 + 15 = 135\), and the angle's spread fits this range better than other options like \(105^{\circ}\) (too close to acute - like spread) or \(135^{\circ}\) (more open than the given angle's visual spread)).

Answer:

\(120^{\circ}\)